Reports have suggested that producers were impressed by the actor's comedic turn as Les Grossman in Tropic Thunder and that he could follow in the footsteps of fellow Hollywood star Gwyneth Paltrow for a multi-episode arc.
A source told Showbiz Spy: "The producers love the idea that Tom might create a character just like Les Grossman in Tropic Thunder.
"His dance rendition to Flo Rida's 'Low' went down so well with audiences and they know something like that would be just as popular, if not more so, on Glee."
They added: "At the moment they are in talks with Tom to play a failed and jaded popstar who is now teaching a Glee Club at a rival school but they are willing to let him have a lot of input in to his character just to try and get him on the show.
"They know that Katie and Suri are big fans of Glee too so they are hoping this may also sway his decision."
Cruise has also reportedly entered talks to star in sci-fi thriller Oblivion.
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